The census records show that Ludwig Lawrence emigrated from Sweden in 1870.
By 1872, he was marrying in St. Peter, Nicollet County, Minnesota
I think the middle name is transcribed wrong:
Date of Marriage Jan 4, 1872
LUDWIG DJCOF LAWRENCE
ANNA LOUISA SJOSTEN (Sjösten?)
Ludwig's death certificate gives his father's name as Mr. Djerve. Information given by his 2nd wife.
On the 1880 census he is Ludwig Lorenz,
1900 census he is
Ludvig L (Djerf) Laurence
Born Dec 1838 Sweden
Person ID I121441 Minnesota
On his daughter's death certificate, the spelling Djarve shows up. Maybe Djärve in Swedish?
By the end of his life, on his death certificate he is going by:
Birth: Dec. 2, 1839
Death: Jan. 26, 1922